I. Pre-reading:
a. Read the title and answer:
What do you think the text will be about? I think that this text will explain the classification of the mathematics. remember mathematics is a proper name, so you do not say "the mathematics" only "mathematics"
Do you know any branches of math? Mention some Yes, I do. I know some branches of math. These are calculus, geometry and algebra.
c. Write a list of 5 words (minimum) that you think will be in the reading. ·Method ·Calculus ·Algebra ·Arithmethic ·Trigonometry ·Numbers
Once you finish, please click on the following link and finish answering the rest of the questions in this page. http://www.math.niu.edu/~rusin/known-math/index/tour_div.html Notice: You have to read the text starting on "the branches of mathematics" and read all about:
A. Arithmetic, B. Algebra, C. Geometry, D. Trigonometry, E. Calculus, F. Probability and statistics, G. Set theory and logic, H. Number theory, I. System analysis, and J. Chaos theory. II. Reading:
1. Read the text carefully and see how many words from your list are in the text. Mention them ·Method ·Calculus ·Algebra ·Trigonometry
2. Find 5 new math terms and define them in your own words. Analysis is a branch of mathematics which studies in way very it specifies every about the real numbers, the complex numbers, the limits, the derived, the integral, the convergences or divergences of the functions and so on. Geometry is a branch of mathematics which studies the properties and characteristic of the geometric figures in the plan and in the space. Algebra is a branch of mathematics which studies the rules for manipulating arithmetic operations; that is, we can operate equations or numbers starting from these rules of the algebra. Foundation is a branch of mathematics which studies the logic and the theory of sets. The foundation is related with the algebra. Statistic is a branch of mathematics which studies the gathering, analysis and interpretation of data, this science look explain regular conditions of some phenomena.
3. Read the following sentences extracted from a reading about Branches of Mathematics and explain what the referents (inredin the sentence) refer to. Be careful, in some items you can find more than one referent underlined:
a. Because algebra uses symbols rather than numbers,itcan produce general rules that apply to all numbers. It (algebra).
b.Geometry was systematized by the ancient Greeks, especially Pythagoras and Euclid. It has been admired from ancient times onward forits simplicityand elegance. Its simplicity (geometry).
c. Astronomers built mechanical devices consisting of gears and fixed spheresthatdescribed the orbits of celestial bodies with astonishing accuracy. That (mechanical devices).
d.The development of calculus in the 17th century made possible the solution of many problems that had been insoluble by the methods of arithmetic, algebra, and geometry.These problemsinclude the determination of Newton’s three laws of motion and the theory of electromagnetism. These problems (many problems that had been insoluble).
e. He extended the intuitive concept of a set to include the possibility of sets containing an infinite number of objects, and he showed thatitis possible to conceive of infinities of different “sizes.” It (set).
f.Multiplication can be shown to be repeated addition, and introducing division,its inverse, produces rational numbers. Its inverse (multiplication).
g.Global climate modeling is an area of mathematical research that seeks to develop models for predicting the weather, given accurate data from weather satellites orbiting Earth.The problem in developingsuch modelsarises not from lack of data but from the difficulty of modeling such a complex system (Earth’s atmosphere) with a small number of equations. In such models even a thousand equations may be considered small. The solution ofthese equationsis very sensitive to changes in the initial conditions. Such models (models for predicting the weather). These equations (equations).
4. Design a mind map showing the branches of math, defining and giving examples of each one of them.
5. What branch of mathematics interests you the most and why?
The branch of mathematics which interests me is the algebra, with this we can see the origin of many of the propositions that we have predetermined in the mathematical and this way to relate their applications with our daily life.
6. Think about two branches of mathematics, now compare and contrast them in terms of what they study.
Geometry and algebra are both branches of mathematics, the first studies the properties and characteristic of the geometric figures in the plan and in the space while the algebra is a branch of mathematics which studies the rules for manipulating arithmetic operations. The geometry is related with the geometric figure while the algebra is related with the numbers; these can be real or complex.
WOW ! !
Reading log 2Read the following text and answer:
I. Pre-reading:
a. Read the title and answer:
What do you think the text will be about?
I think that this text will explain the classification of the mathematics. remember mathematics is a proper name, so you do not say "the mathematics" only "mathematics"
Do you know any branches of math? Mention some
Yes, I do. I know some branches of math. These are calculus, geometry and algebra.
c. Write a list of 5 words (minimum) that you think will be in the reading.
· Method
· Calculus
· Algebra
· Arithmethic
· Trigonometry
· Numbers
Once you finish, please click on the following link and finish answering the rest of the questions in this page.
http://www.math.niu.edu/~rusin/known-math/index/tour_div.html
Notice: You have to read the text starting on "the branches of mathematics" and read all about:
A. Arithmetic, B. Algebra, C. Geometry, D. Trigonometry, E. Calculus, F. Probability and statistics, G. Set theory and logic, H. Number theory, I. System analysis, and J. Chaos theory.
II. Reading:
1. Read the text carefully and see how many words from your list are in the text. Mention them
· Method
· Calculus
· Algebra
· Trigonometry
2. Find 5 new math terms and define them in your own words.
Analysis is a branch of mathematics which studies in way very it specifies every about the real numbers, the complex numbers, the limits, the derived, the integral, the convergences or divergences of the functions and so on.
Geometry is a branch of mathematics which studies the properties and characteristic of the geometric figures in the plan and in the space.
Algebra is a branch of mathematics which studies the rules for manipulating arithmetic operations; that is, we can operate equations or numbers starting from these rules of the algebra.
Foundation is a branch of mathematics which studies the logic and the theory of sets. The foundation is related with the algebra.
Statistic is a branch of mathematics which studies the gathering, analysis and interpretation of data, this science look explain regular conditions of some phenomena.
3. Read the following sentences extracted from a reading about Branches of Mathematics and explain what the referents (in red in the sentence) refer to. Be careful, in some items you can find more than one referent underlined:
a. Because algebra uses symbols rather than numbers, it can produce general rules that apply to all numbers.
It (algebra).
b. Geometry was systematized by the ancient Greeks, especially Pythagoras and Euclid. It has been admired from ancient times onward for its simplicity and elegance.
Its simplicity (geometry).
c. Astronomers built mechanical devices consisting of gears and fixed spheres that described the orbits of celestial bodies with astonishing accuracy.
That (mechanical devices).
d. The development of calculus in the 17th century made possible the solution of many problems that had been insoluble by the methods of arithmetic, algebra, and geometry. These problems include the determination of Newton’s three laws of motion and the theory of electromagnetism.
These problems (many problems that had been insoluble).
e. He extended the intuitive concept of a set to include the possibility of sets containing an infinite number of objects, and he showed that it is possible to conceive of infinities of different “sizes.”
It (set).
f. Multiplication can be shown to be repeated addition, and introducing division, its inverse, produces rational numbers.
Its inverse (multiplication).
g. Global climate modeling is an area of mathematical research that seeks to develop models for predicting the weather, given accurate data from weather satellites orbiting Earth. The problem in developing such models arises not from lack of data but from the difficulty of modeling such a complex system (Earth’s atmosphere) with a small number of equations. In such models even a thousand equations may be considered small. The solution of these equations is very sensitive to changes in the initial conditions.
Such models (models for predicting the weather).
These equations (equations).
4. Design a mind map showing the branches of math, defining and giving examples of each one of them.
5. What branch of mathematics interests you the most and why?
The branch of mathematics which interests me is the algebra, with this we can see the origin of many of the propositions that we have predetermined in the mathematical and this way to relate their applications with our daily life.
6. Think about two branches of mathematics, now compare and contrast them in terms of what they study.
Geometry and algebra are both branches of mathematics, the first studies the properties and characteristic of the geometric figures in the plan and in the space while the algebra is a branch of mathematics which studies the rules for manipulating arithmetic operations.
The geometry is related with the geometric figure while the algebra is related with the numbers; these can be real or complex.